Greatest Common Factor of 36090 and 36096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 36090, 36096 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36090 and 36096 is 6.

GCF(36090,36096) = 6

GCF of 36090 and 36096

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 36090 and 36096

GCF of 36090 and 36096 is 6

Prime Factorization of 36090


2 36090
3 18045
3 6015
5 2005
401 401
1

Prime factors of 36090 are 2,3,5,401. Prime factorization of 36090 in exponential form is:

36090 = 21×32×51×4011

Prime Factorization of 36096


2 36096
2 18048
2 9024
2 4512
2 2256
2 1128
2 564
2 282
3 141
47 47
1

Prime factors of 36096 are 2,3,47. Prime factorization of 36096 in exponential form is:

36096 = 28×31×471

∴ So by taking common prime factors GCF of 36090 and 36096 is 6

Greatest Common Factor of 36090 and 36096 by matching factors method

Factors of 36090

List of positive integer factors of 36090 that divides 36090 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,401,802,1203,2005,2406,3609,4010,6015,7218,12030,18045,36090

Factors of 36096

List of positive integer factors of 36096 that divides 36096 without a remainder.

1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,128,141,188,192,256,282,376,384,564,752,768,1128,1504,2256,3008,4512,6016,9024,12032,18048,36096

Greatest Common Factor

We found the factors and prime factorization of 36090 and 36096. The biggest common factor number is the GCF number.
So the greatest common factor 36090 and 36096 is 6.

Also check out the Least Common Multiple of 36090 and 36096

Properties of GCF 36090 and 36096

(i) The GCF of 36090 and 36096 is associative

GCF of 36090 and 36096 = GCF of 36096 and 36090

Related Greatest Common Factor of 36090

Related Greatest Common Factor of 36096

Frequently Asked Questions on GCF of 36090 and 36096

1. What is the GCF of 36090 and 36096?

Answer: GCF of 36090 and 36096 is 6.

2. What are the Factors of 36090?

Answer: Factors of 36090 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 401, 802, 1203, 2005, 2406, 3609, 4010, 6015, 7218, 12030, 18045, 36090. There are 24 integers that are factors of 36090. The greatest factor of 36090 is 36090.

3. What are the Factors of 36096?

Answer: Factors of 36096 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 128, 141, 188, 192, 256, 282, 376, 384, 564, 752, 768, 1128, 1504, 2256, 3008, 4512, 6016, 9024, 12032, 18048, 36096. There are 36 integers that are factors of 36096. The greatest factor of 36096 is 36096.

4. How to Find the GCF of 36090 and 36096?

Answer:

Greatest Common Factor of 36090 and 36096 = 6

Step 1: Find the prime factorization of 36090

36090 = 2 x 3 x 3 x 5 x 401

Step 2: Find the prime factorization of 36096

36096 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 36090 and 36096 is 6